QCD factorization for $Λ_b^0\toΛ_c^+π^-$

Abstract

We prove that in the limit $m_b, m_c\to\infty$ with $m_c/m_b$ fixed, factorization holds at order $α_s$ for the decay $Λ_b^0\toΛ_c^+π^-$. This proof is done in the infinite-momentum frame in which the momenta of $π$, $Λ_c$, and $Λ_b$ go to infinity. Our result is renormalization scale and scheme independent at $\mathcal{O}(α_s)$. This is the same as QCD factorization for $B \to D π$.